BPS state counting on singular varieties
Algebraic Geometry
2015-05-28 v3 High Energy Physics - Theory
Abstract
We define new partition functions for theories with targets on toric singularities via products of old partition functions on crepant resolutions. We compute explicit examples and show that the new partition functions turn out to be homogeneous on MacMahon factors.
Cite
@article{arxiv.1105.1068,
title = {BPS state counting on singular varieties},
author = {Elizabeth Gasparim and Thomas Köppe and Pushan Majumdar and Koushik Ray},
journal= {arXiv preprint arXiv:1105.1068},
year = {2015}
}
Comments
16 pages Latex. Text reorganized. Expanded with comments on the spaces C_mn, proofs of Prop 4.1 and another proof of Prop. 5.4 added. Reference list updated.Version published in J. Phys A (color online)